DOC.
11
ARGUMENTS FOR MOLECULAR AGITATION 139
E
=
~
(2vv
f
(J is
the
moment of inertia of the
molecule).
Thus
one
obtains for the rotational
energy per
mole:
(3)
E
=
NQ^(2ttv)2
= N0
hv
hi
kT
1
and,
respectively,
(4)
)2
E
=
•
N0
=
(2-7TV
N0'
hv
But since
v
and
T
are connected by
a
transcendental equation,
it is
not possible to
express dE/dT as an explicit function of
T;
instead, if one abbreviates
2it2J
=
p, one
obtains
as
the formula for the specific heat of rotation:
(5)
dE
dE
=
=
dT
dv
dT
=
kTdEv
dT
dE
and, respectively,
(6)
V
=
dE=
dE dv
=N02pv
dT
dvdT
T(÷
kT
pV2
-
4pJ
where
v
and T are connected by the equation:
(5a)
h v
+1
kpv
and, respectively,
h v
k
(6a)
h
[6]